Mapping class group representations and Conformal Field Theory

2005/01/25 by P. Bantay, P. Bántay, Bantay, P.
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0501443

To appear in the Proceedings of Functional Analysis VIII, Dubrovnik, 2003

arxiv created 2005/01/25 · openalex publication_date 2005/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some properties of the tower of mapping class group representations associated to a Rational Conformal Field Theory. In particular, after reviewing the elementary properties of the modular representation, we discuss the Galois action, the structure of the projective kernel, and the trace identities generalizing the formula of Verlinde.

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